Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation
The main aim of this study is to apply the Morgan-Voyce polynomials for the solution of high-order linear differential difference equations with functional arguments under initial boundary conditions. The technique we have used is essentially based on the truncated Morgan-Voyce series and its matrix...
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| Format: | Article |
| Language: | English |
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Düzce University
2016-01-01
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| Series: | Düzce Üniversitesi Bilim ve Teknoloji Dergisi |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/pub/dubited/issue/24381/258462?publisher=duzce |
| _version_ | 1797895224476827648 |
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| author | Bengü TÜRKYILMAZ Burcu GÜRBÜZ Mehmet SEZER |
| author_facet | Bengü TÜRKYILMAZ Burcu GÜRBÜZ Mehmet SEZER |
| author_sort | Bengü TÜRKYILMAZ |
| collection | DOAJ |
| description | The main aim of this study is to apply the Morgan-Voyce polynomials for the solution of high-order linear differential difference equations with functional arguments under initial boundary conditions. The technique we have used is essentially based on the truncated Morgan-Voyce series and its matrix representations along with collocation points. Also, by using the Mean-Value Theorem and residual function, an efficient error estimation technique is proposed and some illustrative examples are presented to demonstrate the validity and applicability of the method. |
| first_indexed | 2024-04-10T07:23:08Z |
| format | Article |
| id | doaj.art-acb4f4f0d4ed4b0aa5a31546a6a9ede0 |
| institution | Directory Open Access Journal |
| issn | 2148-2446 |
| language | English |
| last_indexed | 2024-04-10T07:23:08Z |
| publishDate | 2016-01-01 |
| publisher | Düzce University |
| record_format | Article |
| series | Düzce Üniversitesi Bilim ve Teknoloji Dergisi |
| spelling | doaj.art-acb4f4f0d4ed4b0aa5a31546a6a9ede02023-02-24T09:45:58ZengDüzce UniversityDüzce Üniversitesi Bilim ve Teknoloji Dergisi2148-24462016-01-01410097Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error EstimationBengü TÜRKYILMAZBurcu GÜRBÜZMehmet SEZERThe main aim of this study is to apply the Morgan-Voyce polynomials for the solution of high-order linear differential difference equations with functional arguments under initial boundary conditions. The technique we have used is essentially based on the truncated Morgan-Voyce series and its matrix representations along with collocation points. Also, by using the Mean-Value Theorem and residual function, an efficient error estimation technique is proposed and some illustrative examples are presented to demonstrate the validity and applicability of the method.https://dergipark.org.tr/tr/pub/dubited/issue/24381/258462?publisher=duzcemorgan- voyce polynomialsdifferential-difference equationscollocation methodmatrix methoderror estimationresidual function |
| spellingShingle | Bengü TÜRKYILMAZ Burcu GÜRBÜZ Mehmet SEZER Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation Düzce Üniversitesi Bilim ve Teknoloji Dergisi morgan- voyce polynomials differential-difference equations collocation method matrix method error estimation residual function |
| title | Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation |
| title_full | Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation |
| title_fullStr | Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation |
| title_full_unstemmed | Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation |
| title_short | Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation |
| title_sort | morgan voyce polynomial approach for solution of high order linear differential difference equations with residual error estimation |
| topic | morgan- voyce polynomials differential-difference equations collocation method matrix method error estimation residual function |
| url | https://dergipark.org.tr/tr/pub/dubited/issue/24381/258462?publisher=duzce |
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